Auxiliary_Quaternaries := [
    [ 1, 0, -1/2, -3, 0, 2, 1, -2, -1/2, 1, 5, 2, -3, -2, 2, 14 ],
    [ 1, 0, -1/2, -3, 0, 2, 1, -2, -1/2, 1, 5, 0, -3, -2, 0, 14 ],
    [ 1, 0, -1/2, -3, 0, 2, 1, 0, -1/2, 1, 5, 4, -3, 0, 4, 14 ],
    [ 1, 0, -1/2, -3, 0, 2, 1, 0, -1/2, 1, 5, 0, -3, 0, 0, 14 ],
    [ 1, 0, -1/2, -3, 0, 2, 1, 0, -1/2, 1, 5, 1, -3, 0, 1, 14 ],
    [ 1, 0, -1/2, -3/2, 0, 2, 1, 0, -1/2, 1, 5, 5, -3/2, 0, 5, 14 ],
    [ 1, 0, -1/2, -1, 0, 2, 1, -2, -1/2, 1, 5, 3, -1, -2, 3, 14 ],
    [ 1, 0, -1/2, -1, 0, 2, 1, 0, -1/2, 1, 5, 5, -1, 0, 5, 14 ],
    [ 1, 0, -1/2, -1, 0, 2, 1, -1, -1/2, 1, 5, 4, -1, -1, 4, 14 ],
    [ 1, 0, -1/2, -1, 0, 2, 1, -2, -1/2, 1, 5, 2, -1, -2, 2, 14 ],
    [ 1, 0, -1/2, -3/2, 0, 2, 1, -3/2, -1/2, 1, 5, 2, -3/2, -3/2, 2, 14 ],
    [ 1, 0, -1/2, 0, 0, 2, 1, -2, -1/2, 1, 5, 2, 0, -2, 2, 14 ],
    [ 1, 0, -1/2, -3/2, 0, 2, 1, 0, -1/2, 1, 5, 7/2, -3/2, 0, 7/2, 14 ],
    [ 1, 0, -1/2, -3/2, 0, 2, 1, -1, -1/2, 1, 5, 5/2, -3/2, -1, 5/2, 14 ],
    [ 1, 0, -1/2, -3/2, 0, 2, 1, -3/2, -1/2, 1, 5, 3/2, -3/2, -3/2, 3/2, 14 ],
    [ 1, 0, -1/2, -1, 0, 2, 1, 0, -1/2, 1, 5, 4, -1, 0, 4, 14 ],
    [ 1, 0, -1/2, -3/2, 0, 2, 1, -1/2, -1/2, 1, 5, 3, -3/2, -1/2, 3, 14 ],
    [ 1, 0, -1/2, 0, 0, 2, 1, 0, -1/2, 1, 5, 4, 0, 0, 4, 14 ],
    [ 1, 0, -1/2, -1, 0, 2, 1, -1, -1/2, 1, 5, 3, -1, -1, 3, 14 ],
    [ 1, 0, -1/2, -3/2, 0, 2, 1, -3/2, -1/2, 1, 5, 1, -3/2, -3/2, 1, 14 ],
    [ 1, 0, -1/2, -1/2, 0, 2, 1, 0, -1/2, 1, 5, 4, -1/2, 0, 4, 14 ],
    [ 1, 0, -1/2, -1, 0, 2, 1, -2, -1/2, 1, 5, 1, -1, -2, 1, 14 ],
    [ 1, 0, -1/2, -1/2, 0, 2, 1, -3/2, -1/2, 1, 5, 5/2, -1/2, -3/2, 5/2, 14 ],
    [ 1, 0, -1/2, -3/2, 0, 2, 1, -1, -1/2, 1, 5, 2, -3/2, -1, 2, 14 ],
    [ 1, 0, -1/2, -3/2, 0, 2, 1, 0, -1/2, 1, 5, 3, -3/2, 0, 3, 14 ],
    [ 1, 0, -1/2, -3/2, 0, 2, 1, -3/2, -1/2, 1, 5, 1/2, -3/2, -3/2, 1/2, 14 ],
    [ 1, 0, -1/2, 0, 0, 2, 1, -1, -1/2, 1, 5, 3, 0, -1, 3, 14 ],
    [ 1, 0, -1/2, -3/2, 0, 2, 1, -3/2, -1/2, 1, 5, 0, -3/2, -3/2, 0, 14 ],
    [ 1, 0, -1/2, -3/2, 0, 2, 1, -1/2, -1/2, 1, 5, 5/2, -3/2, -1/2, 5/2, 14 ],
    [ 1, 0, -1/2, -1/2, 0, 2, 1, -1/2, -1/2, 1, 5, 7/2, -1/2, -1/2, 7/2, 14 ],
    [ 1, 0, -1/2, -1, 0, 2, 1, -2, -1/2, 1, 5, 1/2, -1, -2, 1/2, 14 ],
    [ 1, 0, -1/2, 0, 0, 2, 1, 5/2, -1/2, 1, 5, 1, 0, 5/2, 1, 14 ],
    [ 1, 0, -1/2, -3/2, 0, 2, 1, -1, -1/2, 1, 5, 3/2, -3/2, -1, 3/2, 14 ],
    [ 1, 0, -1/2, -1, 0, 2, 1, -2, -1/2, 1, 5, 0, -1, -2, 0, 14 ],
    [ 1, 0, -1/2, -1, 0, 2, 1, 2, -1/2, 1, 5, 3/2, -1, 2, 3/2, 14 ],
    [ 1, 0, -1/2, -3/2, 0, 2, 1, 0, -1/2, 1, 5, 5/2, -3/2, 0, 5/2, 14 ],
    [ 1, 0, -1/2, 0, 0, 2, 1, -2, -1/2, 1, 5, 1, 0, -2, 1, 14 ],
    [ 1, 0, -1/2, -3/2, 0, 2, 1, -1/2, -1/2, 1, 5, 2, -3/2, -1/2, 2, 14 ],
    [ 1, 0, -1/2, -3/2, 0, 2, 1, -1, -1/2, 1, 5, 1, -3/2, -1, 1, 14 ],
    [ 1, 0, -1/2, -1, 0, 2, 1, -3/2, -1/2, 1, 5, 3/2, -1, -3/2, 3/2, 14 ],
    [ 1, 0, -1/2, -3/2, 0, 2, 1, -1, -1/2, 1, 5, 0, -3/2, -1, 0, 14 ],
    [ 1, 0, -1/2, -1/2, 0, 2, 1, 0, -1/2, 1, 5, 7/2, -1/2, 0, 7/2, 14 ],
    [ 1, 0, -1/2, -3/2, 0, 2, 1, 0, -1/2, 1, 5, 2, -3/2, 0, 2, 14 ],
    [ 1, 0, -1/2, -3/2, 0, 2, 1, -1/2, -1/2, 1, 5, 3/2, -3/2, -1/2, 3/2, 14 ],
    [ 1, 0, -1/2, -1/2, 0, 2, 1, -1, -1/2, 1, 5, 5/2, -1/2, -1, 5/2, 14 ],
    [ 1, 0, -1/2, -1, 0, 2, 1, -3/2, -1/2, 1, 5, 1, -1, -3/2, 1, 14 ],
    [ 1, 0, -1/2, -1, 0, 2, 1, 0, -1/2, 1, 5, 3, -1, 0, 3, 14 ],
    [ 1, 0, -1/2, -1, 0, 2, 1, -1, -1/2, 1, 5, 2, -1, -1, 2, 14 ],
    [ 1, 0, -1/2, -3/2, 0, 2, 1, -1/2, -1/2, 1, 5, 0, -3/2, -1/2, 0, 14 ],
    [ 1, 0, -1/2, -3/2, 0, 2, 1, 0, -1/2, 1, 5, 0, -3/2, 0, 0, 14 ],
    [ 1, 0, -1/2, -3/2, 0, 2, 1, -1/2, -1/2, 1, 5, 1/2, -3/2, -1/2, 1/2, 14 ],
    [ 1, 0, -1/2, -1, 0, 2, 1, -1/2, -1/2, 1, 5, 5/2, -1, -1/2, 5/2, 14 ],
    [ 1, 0, -1/2, -3/2, 0, 2, 1, 0, -1/2, 1, 5, 1/2, -3/2, 0, 1/2, 14 ],
    [ 1, 0, -1/2, -1, 0, 2, 1, -3/2, -1/2, 1, 5, 1/2, -1, -3/2, 1/2, 14 ],
    [ 1, 0, -1/2, 0, 0, 2, 1, -2, -1/2, 1, 5, 0, 0, -2, 0, 14 ],
    [ 1, 0, -1/2, -1, 0, 2, 1, -3/2, -1/2, 1, 5, 0, -1, -3/2, 0, 14 ],
    [ 1, 0, -1/2, 0, 0, 2, 1, 0, -1/2, 1, 5, 3, 0, 0, 3, 14 ],
    [ 1, 0, -1/2, 0, 0, 2, 1, 2, -1/2, 1, 5, 1/2, 0, 2, 1/2, 14 ],
    [ 1, 0, -1/2, -1, 0, 2, 1, -1, -1/2, 1, 5, 3/2, -1, -1, 3/2, 14 ],
    [ 1, 0, -1/2, 0, 0, 2, 1, 2, -1/2, 1, 5, 1, 0, 2, 1, 14 ],
    [ 1, 0, -1/2, 0, 0, 2, 1, -1, -1/2, 1, 5, 2, 0, -1, 2, 14 ],
    [ 1, 0, -1/2, -1, 0, 2, 1, 0, -1/2, 1, 5, 5/2, -1, 0, 5/2, 14 ],
    [ 1, 0, -1/2, -1/2, 0, 2, 1, -3/2, -1/2, 1, 5, 1, -1/2, -3/2, 1, 14 ],
    [ 1, 0, -1/2, -1, 0, 2, 1, -1/2, -1/2, 1, 5, 2, -1, -1/2, 2, 14 ],
    [ 1, 0, -1/2, -1, 0, 2, 1, -1, -1/2, 1, 5, 1, -1, -1, 1, 14 ],
    [ 1, 0, -1/2, -1/2, 0, 2, 1, -3/2, -1/2, 1, 5, 1/2, -1/2, -3/2, 1/2, 14 ],
    [ 1, 0, -1/2, -1, 0, 2, 1, -1, -1/2, 1, 5, 1/2, -1, -1, 1/2, 14 ],
    [ 1, 0, -1/2, -1, 0, 2, 1, 0, -1/2, 1, 5, 2, -1, 0, 2, 14 ],
    [ 1, 0, -1/2, -1, 0, 2, 1, -1, -1/2, 1, 5, 0, -1, -1, 0, 14 ],
    [ 1, 0, -1/2, -1, 0, 2, 1, -1/2, -1/2, 1, 5, 3/2, -1, -1/2, 3/2, 14 ],
    [ 1, 0, -1/2, -1/2, 0, 2, 1, -1, -1/2, 1, 5, 3/2, -1/2, -1, 3/2, 14 ],
    [ 1, 0, -1/2, -1/2, 0, 2, 1, 0, -1/2, 1, 5, 5/2, -1/2, 0, 5/2, 14 ],
    [ 1, 0, -1/2, -1/2, 0, 2, 1, -3/2, -1/2, 1, 5, 0, -1/2, -3/2, 0, 14 ],
    [ 1, 0, -1/2, -1/2, 0, 2, 1, 3/2, -1/2, 1, 5, 1, -1/2, 3/2, 1, 14 ],
    [ 1, 0, -1/2, -1/2, 0, 2, 1, -1/2, -1/2, 1, 5, 2, -1/2, -1/2, 2, 14 ],
    [ 1, 0, -1/2, -1, 0, 2, 1, -1/2, -1/2, 1, 5, 1, -1, -1/2, 1, 14 ],
    [ 1, 0, -1/2, -1, 0, 2, 1, 0, -1/2, 1, 5, 3/2, -1, 0, 3/2, 14 ],
    [ 1, 0, -1/2, -1, 0, 2, 1, -1/2, -1/2, 1, 5, 0, -1, -1/2, 0, 14 ],
    [ 1, 0, -1/2, -1/2, 0, 2, 1, -1, -1/2, 1, 5, 1, -1/2, -1, 1, 14 ],
    [ 1, 0, -1/2, -1, 0, 2, 1, 0, -1/2, 1, 5, 0, -1, 0, 0, 14 ],
    [ 1, 0, -1/2, 0, 0, 2, 1, -1, -1/2, 1, 5, 1, 0, -1, 1, 14 ],
    [ 1, 0, -1/2, -1, 0, 2, 1, 0, -1/2, 1, 5, 1/2, -1, 0, 1/2, 14 ],
    [ 1, 0, -1/2, -1/2, 0, 2, 1, 0, -1/2, 1, 5, 2, -1/2, 0, 2, 14 ],
    [ 1, 0, -1/2, 0, 0, 2, 1, 0, -1/2, 1, 5, 2, 0, 0, 2, 14 ],
    [ 1, 0, -1/2, -1/2, 0, 2, 1, -1/2, -1/2, 1, 5, 3/2, -1/2, -1/2, 3/2, 14 ],
    [ 1, 0, -1/2, -1/2, 0, 2, 1, -1, -1/2, 1, 5, 1/2, -1/2, -1, 1/2, 14 ],
    [ 1, 0, -1/2, 0, 0, 2, 1, -1/2, -1/2, 1, 5, 3/2, 0, -1/2, 3/2, 14 ],
    [ 1, 0, -1/2, -1/2, 0, 2, 1, -1, -1/2, 1, 5, 0, -1/2, -1, 0, 14 ],
    [ 1, 0, -1/2, 0, 0, 2, 1, -1, -1/2, 1, 5, 1/2, 0, -1, 1/2, 14 ],
    [ 1, 0, -1/2, -1/2, 0, 2, 1, 0, -1/2, 1, 5, 3/2, -1/2, 0, 3/2, 14 ],
    [ 1, 0, -1/2, -1/2, 0, 2, 1, -1/2, -1/2, 1, 5, 1, -1/2, -1/2, 1, 14 ],
    [ 1, 0, -1/2, 0, 0, 2, 1, -1, -1/2, 1, 5, 0, 0, -1, 0, 14 ],
    [ 1, 0, -1/2, 0, 0, 2, 1, 0, -1/2, 1, 5, 3/2, 0, 0, 3/2, 14 ],
    [ 1, 0, -1/2, 0, 0, 2, 1, 1, -1/2, 1, 5, 1/2, 0, 1, 1/2, 14 ],
    [ 1, 0, -1/2, 0, 0, 2, 1, -1/2, -1/2, 1, 5, 1, 0, -1/2, 1, 14 ],
    [ 1, 0, -1/2, -1/2, 0, 2, 1, -1/2, -1/2, 1, 5, 1/2, -1/2, -1/2, 1/2, 14 ],
    [ 1, 0, -1/2, -1/2, 0, 2, 1, 0, -1/2, 1, 5, 1, -1/2, 0, 1, 14 ],
    [ 1, 0, -1/2, -1/2, 0, 2, 1, -1/2, -1/2, 1, 5, 0, -1/2, -1/2, 0, 14 ],
    [ 1, 0, -1/2, -1/2, 0, 2, 1, 0, -1/2, 1, 5, 0, -1/2, 0, 0, 14 ],
    [ 1, 0, -1/2, 0, 0, 2, 1, -1/2, -1/2, 1, 5, 1/2, 0, -1/2, 1/2, 14 ],
    [ 1, 0, -1/2, 0, 0, 2, 1, 0, -1/2, 1, 5, 1, 0, 0, 1, 14 ],
    [ 1, 0, -1/2, 0, 0, 2, 1, -1/2, -1/2, 1, 5, 0, 0, -1/2, 0, 14 ],
    [ 1, 0, -1/2, 0, 0, 2, 1, 0, -1/2, 1, 5, 1/2, 0, 0, 1/2, 14 ],
    [ 1, 0, -1/2, 0, 0, 2, 1, 0, -1/2, 1, 5, 0, 0, 0, 0, 14 ]
];
